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Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm’s hidden variables

In this paper, we outline the research conducted by the first named author and his associates on the axiom-preserving, thus isotopic completion of quantum mechanics into hadronic mechanics according to the historical legacy by A. Einstein, B. Podolsky and N. Rosen that quantum mechanics is not a com...

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Autores principales: Santilli, Ruggero Maria, Sobczyk, Garret
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9760646/
https://www.ncbi.nlm.nih.gov/pubmed/36529817
http://dx.doi.org/10.1038/s41598-022-24970-4
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author Santilli, Ruggero Maria
Sobczyk, Garret
author_facet Santilli, Ruggero Maria
Sobczyk, Garret
author_sort Santilli, Ruggero Maria
collection PubMed
description In this paper, we outline the research conducted by the first named author and his associates on the axiom-preserving, thus isotopic completion of quantum mechanics into hadronic mechanics according to the historical legacy by A. Einstein, B. Podolsky and N. Rosen that quantum mechanics is not a complete theory and review the ensuing exact representation of the magnetic moment and spin of the Deuteron in its ground state thanks to the isotopic completion of Pauli’s matrices with an explicit and concrete content of D. Bohm’s hidden variable [Formula: see text] . We then outline the independent studies conducted by the second named author on the representation of the conventional Pauli’s matrices via geometric Clifford algebras. We finally show that the combination of the two studies allows a mathematically rigorous, numerically exact and time invariant geometric representation of the magnetic moment, spin and hidden variable of the Deuteron in its ground state.
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spelling pubmed-97606462022-12-20 Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm’s hidden variables Santilli, Ruggero Maria Sobczyk, Garret Sci Rep Article In this paper, we outline the research conducted by the first named author and his associates on the axiom-preserving, thus isotopic completion of quantum mechanics into hadronic mechanics according to the historical legacy by A. Einstein, B. Podolsky and N. Rosen that quantum mechanics is not a complete theory and review the ensuing exact representation of the magnetic moment and spin of the Deuteron in its ground state thanks to the isotopic completion of Pauli’s matrices with an explicit and concrete content of D. Bohm’s hidden variable [Formula: see text] . We then outline the independent studies conducted by the second named author on the representation of the conventional Pauli’s matrices via geometric Clifford algebras. We finally show that the combination of the two studies allows a mathematically rigorous, numerically exact and time invariant geometric representation of the magnetic moment, spin and hidden variable of the Deuteron in its ground state. Nature Publishing Group UK 2022-12-18 /pmc/articles/PMC9760646/ /pubmed/36529817 http://dx.doi.org/10.1038/s41598-022-24970-4 Text en © The Author(s) 2022 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Santilli, Ruggero Maria
Sobczyk, Garret
Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm’s hidden variables
title Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm’s hidden variables
title_full Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm’s hidden variables
title_fullStr Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm’s hidden variables
title_full_unstemmed Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm’s hidden variables
title_short Representation of nuclear magnetic moments via a Clifford algebra formulation of Bohm’s hidden variables
title_sort representation of nuclear magnetic moments via a clifford algebra formulation of bohm’s hidden variables
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9760646/
https://www.ncbi.nlm.nih.gov/pubmed/36529817
http://dx.doi.org/10.1038/s41598-022-24970-4
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